Abstract
This paper presents a multiscale method that yields a stabilized finite element formulation for the advection-diffusion equation. The multiscale method arises from a decomposition of the scalar field into coarse (resolved) scale and fine (unresolved) scale. The resulting stabilized formulation possesses superior properties like that of the SUPG and the GLS methods. A significant feature of the present method is that the definition of the stabilization term appears naturally, and therefore the formulation is free of any user-designed or user-defined parameters. Another important ingredient is that since the method is residual based, it satisfies consistency ab initio. Based on the proposed formulation, a family of 2-D elements comprising 3 and 6 node triangles and 4 and 9 node quadrilaterals has been developed. Numerical results show the good performance of the method on uniform, skewed as well as composite meshes and confirm convergence at optimal rates.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1997-2018 |
| Number of pages | 22 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 193 |
| Issue number | 21-22 |
| DOIs | |
| State | Published - May 28 2004 |
| Externally published | Yes |
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications